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Finding the Fourth Proportional to 2,853.67, 3,936.84 and 1,658.56

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Solution

The fourth proportional to 2,853.67, 3,936.84 and 1,658.56 is: 2,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.67 : 3,936.84 = 1,658.56 : x
  2. Step 2: Convert to fraction form
    2,853.67/3,936.84 = 1,658.56/x
  3. Step 3: Cross multiply
    2,853.67x = 3,936.84 × 1,658.56
  4. Step 4: Simplify right side
    2,853.67x = 6,529,485.35
  5. Step 5: Solve for x
    x = 6,529,485.35/2,853.67
  6. Step 6: Final answer
    x = 2,288.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.